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Finding the Fourth Proportional to 149.16, 224.59 and 140.05

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Solution

The fourth proportional to 149.16, 224.59 and 140.05 is: 210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 224.59 = 140.05 : x
  2. Step 2: Convert to fraction form
    149.16/224.59 = 140.05/x
  3. Step 3: Cross multiply
    149.16x = 224.59 × 140.05
  4. Step 4: Simplify right side
    149.16x = 31,453.83
  5. Step 5: Solve for x
    x = 31,453.83/149.16
  6. Step 6: Final answer
    x = 210.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.